16 citations · 27 across the 6 of their papers we have counts for
8 papers
A data-dependent DKW inequality for regenerative Markov chains
Daniel Jerison
We prove a version of the Dvoretzky-Kiefer-Wolfowitz inequality for Markov chains with a regenerative structure. Suppose we have a regenerative Markov chain with stationary distrib…
Connectivity of Districting Metagraphs
Mehmet Emre, Daniel C. Jerison, Ellen Veomett
In this article, we prove irreducibility results for a family of Markov chains arising in the study of redistricting and detecting gerrymandering. These chains use ReCom moves as t…
Quantitative convergence rates for reversible Markov chains via strong random times
Daniel C. Jerison
Let be a discrete time Markov chain on a general state space. It is well-known that if is aperiodic and satisfies a drift and minorization condition, then it conver…
The Dirichlet problem for orthodiagonal maps
Ori Gurel-Gurevich, Daniel C. Jerison, Asaf Nachmias
We prove that the discrete harmonic function corresponding to smooth Dirichlet boundary conditions on orthodiagonal maps, that is, plane graphs having quadrilateral faces with orth…
A combinatorial criterion for macroscopic circles in planar triangulations
Ori Gurel-Gurevich, Daniel C. Jerison, Asaf Nachmias
Given a finite simple triangulation, we estimate the sizes of circles in its circle packing in terms of Cannon's vertex extremal length. Our estimates provide control over the size…
Sandpiles on the square lattice
Bob Hough, Dan Jerison, Lionel Levine
We give a non-trivial upper bound for the critical density when stabilizing i.i.d. distributed sandpiles on the lattice . We also determine the asymptotic spectral ga…